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Finding the Fourth Proportional to 509.19, 759.87 and 454.50

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Solution

The fourth proportional to 509.19, 759.87 and 454.50 is: 678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.19 : 759.87 = 454.50 : x
  2. Step 2: Convert to fraction form
    509.19/759.87 = 454.50/x
  3. Step 3: Cross multiply
    509.19x = 759.87 × 454.50
  4. Step 4: Simplify right side
    509.19x = 345,360.92
  5. Step 5: Solve for x
    x = 345,360.92/509.19
  6. Step 6: Final answer
    x = 678.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.